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PSYCHO15rus [73]
3 years ago
5

a circle with the area 9 pi has a sector with a central angle of 60 degrees. what is the area of the sector?

Mathematics
2 answers:
mylen [45]3 years ago
8 0

Answer:

The area of sector is 4.71 sq unites

Step-by-step explanation:

Step 1: Area of the sector = Area of the circle × (C/360) where C is the central angle.

Area of the sector = πr²(C/360) = 9π × 60/360

                           = 9 × 3.14 × 1/6

                           = 28.26/6 = 4.71 sq units

Original answer by Bhuvna789456. I hope this helped.

nadya68 [22]3 years ago
8 0

Answer:

The area of the sector is 1.5pi

Step-by-step explanation:

To solve this exercise we have to know that the circle is represented with an angle of 360°

Because the circle is 360° and we have 60° , we have to divide 60 ​​by 360 to find what fraction of the circle that part represents.

60/360 = 1/6

Now we multiply this number by the total area of ​​the circle and we will obtain the area of ​​the sector that we want

9pi * 1/6 = 1.5pi

The area of the sector is 1.5pi

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